An algorithm is given for calculating the solution to the 3D inverse scattering problem with noisy discrete fixed energy data. The error estimates for the calculated solution are derived. The methods developed are of general nature and can be used in many applications: in nondestructive evaluation and remote sensing, in geophysical exploration, medical diagnostics and technology.

Snow cover is a layer of snow on the earth’s surface, which is mainly results from snowfalls. The snow cover can be temporary, when a snow melts during several hours or days after its formation, and it can be stable, when it remains for the whole winter or with short interruptions. The snow cover formation on the globe is determined (conditioned) by the geographical zonality, surface relief, an...

40 LLE Review, Volume 97 Introduction Glass-ceramics are attractive structural materials due to their good mechanical properties, chemical stability at higher temperatures, and tailored microstructures via appropriate heat treatments. In the cold working of glass-ceramics, several options are available: loose-abrasive grinding (lapping, at fixed nominal pressure) or deterministic microgrinding ...

Patients with Parkinson’s disease (PD) show characteristic abnormalities in the performance of simple repetitive movements which can also be observed concerning speech rate and rhythm. The aim of the current study was to survey if patients with early PD already feature impairments of steady vocal pace performance based upon a simple syllable repetition paradigm. N = 50 patients with PD with mil...

Motivated by a variety of applications in information and communication systems, we consider queueing networks in which the service rate at each of the individual nodes depends on the state of the entire system. The asymptotic behaviour of this type of networks is fundamentally different from classical queueing networks, where the service rate at each node is usually assumed to be independent o...

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with junctions. The evolution problem is underdetermined at junctions, hence we choose to have some fixed rules for the distribution of traffic plus an optimization cri...

A series of novel 3-heterocyclothio substituted carbacephems having phenylglycyl side chain have been prepared starting from 3-H carbacephem. The compounds exhibit better chemical stability than the corresponding cephalosporin and strong activity against Gram-negative and Gram-positive organisms including Enterococcus faecalis.

This paper examines a model of multi-jurisdiction formation where individuals’ characteristics are uniformly distributed over a finite interval. Every jurisdiction locates a public facility and distributes its cost equally among the residents. We consider two notions of stability: Nash stability and its refinement local Nash stability, and examine the existence and characterization of stable pa...

The use of auxiliary functions in nonparametric inference for theM/G/∞ queueinging model is considered. Estimation of the service time distribution G is challenging when only limited information about the busy/idle cycle is available. It is shown, using diagnostic plots of estimators, that a standard auxiliary function aimed at providing numerical stability fails in that regard but that a relia...

This paper reviews the problem of a thin rigid rod sliding on a horizontal surface in the plane, which is commonly cited as an example of the inconsistency of planar rigid-body Newtonian mechanics. We demonstrate the existence of a consistent solution, using Routh's analysis of rigid-body impact. Copyright © 1987 Carnegie-Mel lon University This work was supported under grants from the System D...